Strange attractors
نویسندگان
چکیده
منابع مشابه
Strange attractors
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Strange nonchaotic attractors typically appear in quasiperiodically driven nonlinear systems. Two methods of their characterization are proposed. The first one is based on the bifurcation analysis of the systems, resulting from periodic approximations of the quasiperiodic forcing. Second, we propose to characterize their strangeness by calculating a phase sensitivity exponent, that measures the...
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We reviews the theory of strange attractors and their bifurcations. All known strange attractors may be subdivided into the following three groups: hyperbolic, pseudo-hyperbolic ones and quasi-attractors. For the first ones the description of bifurcations that lead to the appearance of Smale-Williams solenoids and Anosov-type attractors is given. The definition and the description of the attrac...
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Aperiodic dynamics which is nonchaotic is realized on Strange Nonchaotic attractors (SNAs). Such attractors are generic in quasiperiodically driven nonlinear systems, and like strange attractors, are geometrically fractal. The largest Lyapunov exponent is zero or negative: trajectories do not show exponential sensitivity to initial conditions. In recent years, SNAs have been seen in a number of...
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In this paper the use of tools from optimal control theory, namely the Kalman filter, is introduced for chaotic Lur’e systems to replace the widely used error feedback synchronization. This allows to take into account observation noise on the strange attractor to be filtered. We show that the filtering performance is superior to that of synchronization, in particular if the noise level is non-n...
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ژورنال
عنوان ژورنال: Current Biology
سال: 2007
ISSN: 0960-9822
DOI: 10.1016/j.cub.2007.08.027